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Author: Tinku Tara

x-x-x-x-dx-0-1-n-x-x-1-dx-

Question Number 130149 by liberty last updated on 22/Jan/21 $$\:\Re\:=\:\int\:\sqrt{{x}+\sqrt{{x}+\sqrt{{x}+\sqrt{{x}+…}}}}\:{dx} \\ $$$$\:\Im\:=\:\int_{\mathrm{0}} ^{\:\mathrm{1}} \:\frac{\ell\mathrm{n}\:{x}}{{x}+\mathrm{1}}\:{dx}\: \\ $$ Answered by MJS_new last updated on 22/Jan/21 $$\sqrt{{x}+\sqrt{{x}+\sqrt{{x}+…}}}=\frac{\mathrm{1}}{\mathrm{2}}+\frac{\sqrt{\mathrm{4}{x}+\mathrm{1}}}{\mathrm{2}} \\…

Question-64610

Question Number 64610 by ajfour last updated on 19/Jul/19 Commented by ajfour last updated on 19/Jul/19 $${For}\:{what}\:{radius}\:{R}\:{of}\:{the}\:{larger} \\ $$$${circle},\:{the}\:{figer}\:{closes}\:{on}\:{itself} \\ $$$${forming}\:\boldsymbol{{n}}\:{vertices}? \\ $$ Commented by…

find-all-integr-naturals-n-and-k-wich-verify-k-2-n-1-2-n-2-2-n-4-2-n-2-n-1-

Question Number 64604 by mathmax by abdo last updated on 19/Jul/19 $${find}\:\:{all}\:{integr}\:{naturals}\:{n}\:{and}\:{k}\:{wich}\:{verify} \\ $$$${k}!=\left(\mathrm{2}^{{n}} −\mathrm{1}\right)\left(\mathrm{2}^{{n}} −\mathrm{2}\right)\left(\mathrm{2}^{{n}} −\mathrm{4}\right)…\left(\mathrm{2}^{{n}} −\mathrm{2}^{{n}−\mathrm{1}} \right) \\ $$ Terms of Service Privacy…

1-decompose-F-x-x-2-3-x-2-1-2-x-2-4-3-2-determine-F-x-dx-

Question Number 130138 by mathmax by abdo last updated on 22/Jan/21 $$\left.\mathrm{1}\right)\:\mathrm{decompose}\:\mathrm{F}\left(\mathrm{x}\right)=\frac{\mathrm{x}^{\mathrm{2}} −\mathrm{3}}{\left(\mathrm{x}^{\mathrm{2}} −\mathrm{1}\right)^{\mathrm{2}} \left(\mathrm{x}^{\mathrm{2}} +\mathrm{4}\right)^{\mathrm{3}} } \\ $$$$\left.\mathrm{2}\right)\:\mathrm{determine}\:\int\:\mathrm{F}\left(\mathrm{x}\right)\mathrm{dx} \\ $$ Answered by MJS_new last…